Dynamics of fluids in layered porous media with anisotropic permeability under a point fluid source

In this paper, we derive a solution to the unsteady flow field of layered porous media with anisotropic permeability under a point fluid source. By Laplace and two-dimensional (2D) Fourier transform, the continuity equation of the fluid can be solved, and the flow field can be expressed in an analytical form in the transformed domain. Using the boundary and interface condition, the flow field for general layered porous media can be solved in the transformed domain. The actual solutions in the physical domain can be obtained by inverse Laplace–Fourier transform. Numerical examples are presented for both half-space and bimaterials, to verify the validity and applicability of the method, and show the influence of interface and anisotropic permeability.